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3 years ago

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4 days ago, Emily blew up a balloon (that is a perfect sphere) to a radius of 5cm. Since then, the balloon has lost air and decr

eased by 0.5cm each day.

1 answer:

Elan Coil [88]3 years ago

3 0

Answer:

27/125

Step-by-step explanation:

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1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. A. 1056 cm2 B. 1536 cm2 C. 816 c

Deffense [45]

We have that

<span>1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm

[surface area]=[area of 4 triangles sides]+[area of square base]
</span>[area of square base]=24*24--------> 576 cm²

[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²

the answer part 1) is option B) 1536 cm²

<span>2. Use 3.14 for π and round to the nearest tenth.
</span>Find the surface area of the cylinder<span>
radius=8 in
<span>height= 8 in
</span></span>[surface area]=2*[area of circular base]+[Perimeter of base]*h
[area of circular base]=pi*8²----> 200.96 in²
Perimeter=2*pi*8--------> 50.24 in
[surface area]=2*[200.96]+[50.24]*8-----------> 803.84 in²

the answer Part 2) is the option C) 803.8 in²

<span>3. Find the volume of the cylinder.
</span>[volume of the cylinder]=[area of circular base]*h
[volume of the cylinder]=[200.96]*8---------> 1607.68 in³

the answer Part 3) is the option A.) 1607.7 in.3

<span>4.Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm
</span>
[volume of a rectangular prism]=L*B*H

[volume of a rectangular prism]=5*7*3----------> 105 mm³

the answer part 4) is the option <span>B.) 105 mm3

</span><span>5.Find the volume of the given pyramid.
A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
</span>this question is incorrect

the correct question is
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
or
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

<span>we will solve the two cases
</span>
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
[volume of the pyramid]=pi*r²*h/3---------> pi*9²*7/3---------> 593.46 yd³

the answer Part 5a) is 593.46 yd³

5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

[volume of the pyramid]=b²*h/3---------> 7²*7/3---------> 114.33 yd³

the answer Part 5b) is 114.33 yd³

<span>6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.

[</span>volume of a square pyramid]=b²*h/3---------> 9²*4/3-------> 108 cm³

the answer Part 6) is the option <span>B.)1</span>08 cm³

4 0

3 years ago

PLEASE HELP? 10 POINTS

erik [133]

I would say I might be 46 but not quite sure

5 0

3 years ago

Read 2 more answers

The graph of $y=ax^2+bx+c$ passes through points $(0,5)$, $(1,10)$, and $(2,19)$. Find $a+b+c$.

MAVERICK [17]

Answer:

$a+b+c=10$

Step-by-step explanation:

We are given that the graph of the equation:

$y=ax^2+bx+c$

Passes through the three points (0, 5), (1, 10), and (2, 19).

And we want to find the value of (<em>a</em> + <em>b</em> + <em>c</em>).

First, since the graph passes through (0, 5), its <em>y-</em>intercept or <em>c</em> is 5. Hence:

$y=ax^2+bx+5$

Next, since the graph passes through (1, 10), when <em>x</em> = 1, <em>y</em> = 10. Substitute:

$(10)=a(1)^2+b(1)+5$

Simplify:

$5=a+b$

The point (2, 19) tells us that when <em>x</em> = 2, <em>y</em> = 19. Substitute:

$(19)=a(2)^2+b(2)+5$

Simplify:

$14=4a+2b$

This yields a system of equations:

$\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}$

Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:

$-10=-2a-2b$

Add the two equations together:

$(-10)+(14)=(-2a+4a)+(-2b+2b)$

Combine like terms:

$4 = 2a$

Hence:

$a=2$

Using the first equation:

$5=(2)+b\Rightarrow b=3$

Therefore, our equation is:

$y=2x^2+3x+5$

Thus, the value of (<em>a</em> + <em>b</em> + <em>c</em>) will be:

$a+b+c = (2) + (3) + (5) = 10$

7 0

3 years ago

Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record it

balandron [24]

5/9 because you have to add those two together and put that number over the total number of marbles.

4 0

3 years ago

Solve the equation. Round the answer to the nearest tenth.

Kamila [148]

D.x=1.4

just divide 4.6 by 3.2

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4 years ago